Pith Number

pith:2SOAHHPM

pith:2013:2SOAHHPMNGETS6YOJSEPJKGC2W

not attested not anchored not stored refs pending

Spectral measures associated with the factorization of the Lebesgue measure on a set via convolution

Chun-kit Lai, Jean-Pierre Gabardo

arxiv:1311.2209 v1 · 2013-11-09 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SOAHHPMNGETS6YOJSEPJKGC2W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:15:59.284796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49c039dec6989397b0e4c88f4a8c2d5823ef3de26ba56ce0b5f253bd3f8e9d1

Aliases

arxiv: 1311.2209 · arxiv_version: 1311.2209v1 · doi: 10.48550/arxiv.1311.2209 · pith_short_12: 2SOAHHPMNGET · pith_short_16: 2SOAHHPMNGETS6YO · pith_short_8: 2SOAHHPM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2SOAHHPMNGETS6YOJSEPJKGC2W \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d49c039dec6989397b0e4c88f4a8c2d5823ef3de26ba56ce0b5f253bd3f8e9d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55e677ac9f08d706b474d1967b36ebdcc253b10dfd0acff959d61afddd7f272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-09T20:37:57Z",
    "title_canon_sha256": "7e8511d3048981005366a71c833d1e3bf36e3cd9febe1642eaf883cfd2c54a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2209",
    "kind": "arxiv",
    "version": 1
  }
}